document.write( "Question 1106914: find the number b such that the vertex of the parabola y= x²+bx +c lies on y-axis \n" ); document.write( "

Algebra.Com's Answer #721942 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Converting to vertex form,
\n" ); document.write( " $\"y=%28x%5E2%2Bbx%2B%28b%2F2%29%5E2%29%2Bc-%28b%2F2%29%5E2\"$
\n" ); document.write( " $\"y=%28x%2Bb%2F2%29%5E2%2Bc-%28b%2F2%29%5E2\"$
\n" ); document.write( "So the vertex would lie on the x axis at $\"x=-b%2F2\"$ and the y value would be equal to zero,
\n" ); document.write( " $\"0=%28-b%2F2%2Bb%2F2%29%5E2%2Bc-%28b%2F2%29%5E2\"$
\n" ); document.write( " $\"c=%28b%2F2%29%5E2\"$
\n" ); document.write( " \n" ); document.write( "

\n" );